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\begin{align*} 
g_{int} = \left[\frac{1}{2}\left[\g^T * \g - 1\right]\right. \\
		    \left.\frac{1}{2}\left[\g^T * \g - 1\right]\right. \\
		    \left.\frac{1}{2}\left[\g^T * \g - 1\right]\right. \\
		    \left.\g^T * \g\right. \\
		    \left.\g^T * \g\right. \\
		    \left.\g^T * \g\right]

\end{align*} 

\documentclass{article}
\usepackage{amsmath}
\newcommand{\g}{g}% Woher soll ich wissen, was das ist?
\begin{document}
\begin{align*}
g_{\mathrm{int}} =
\begin{bmatrix}	 \frac{1}{2}\left[\g^T * \g - 1\right]\\
          \frac{1}{2}\left[\g^T * \g - 1\right] \\
          \frac{1}{2}\left[\g^T * \g - 1\right] \\
          \g^T * \g \\
          \g^T * \g \\
          \g^T * \g
\end{bmatrix}
\end{align*} 
\end{document}